The previous account is probably the owner of the files in the partition. If the partitions are ext (Linux) you only need to go to a terminal and replace the owner of the files (as you deleted the 1st user, you don't need to access the files with it anymore).
sudo chown -R new_user_name /the_place_you_mounted_the_partition
-R is to apply the command to all subdirectories, you can check
chown command with
After you can check if it worked using
ls -l /the_place_you_mounted_the_partition
If you have more users to share the partitions, after that you can create a group, assign the group to the files and place the users that need access in the group.
#Entry for swap partition :
UUID=dff20e79-bdef-4615-b582-6790c45d37a1 none swap sw 0 0
with UUID = swap partition UUID
#Entry for /dev/sda6 (NTFS partition) :
UUID=01F49D053D1E38F0 /mnt/dados ntfs-3g defaults,suid,dev,exec,locale=pt_BR.utf8 0 0
locale= is only if you need special locale config, you can discard it if English.